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Least Common Multiple (LCM) of 80 and 182

The least common multiple (LCM) of 80 and 182 is 7280.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 80 and 182?

First, calculate the GCD of 80 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 182 = 0 remainder 80
2 182 ÷ 80 = 2 remainder 22
3 80 ÷ 22 = 3 remainder 14
4 22 ÷ 14 = 1 remainder 8
5 14 ÷ 8 = 1 remainder 6
6 8 ÷ 6 = 1 remainder 2
7 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 18927594
113 and 12313899
135 and 15220520
171 and 38342
61 and 694209

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